The charge density on a disk of radius R= 13.0 cm is given by car, with a = 1.44 μC/m³ and r measured radially outward from the origin (see figure below). What is the electric potential at point A, a distance of 34.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration. V
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- A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =please answer G and H. previous questions are above to help:)Needs Complete typed solution with 100 % accuracy.
- Hello, I am having trouble with this problem because I don't know how to do all three of these parts. Can you help me with Part A, PART B, AND PART C and you can label which one is whichThe figure below is a graph of an electric potential as a function of position. A function is plotted on a coordinate plane with horizontal axis x and vertical axis V. Points A and B lie on the +x-axis, where A is closer to the origin. The function starts in quadrant 3, curves up and right to reach a local maximum at the origin, then curves down and right to reach a local minimum in quadrant 4. It then curves up and right, crosses the x-axis to the left of point A, and reaches its maximum value directly above point B. The function then curves down and right, crosses the x-axis, and continues until it exits the viewing window in quadrant 4. If a positively-charged particle is released from rest at point A, what will be its subsequent motion?The positively-charged particle will... oscillate around point B. remain at point A. move to the right. move to the left.A thin wire with a uniform positive charge density A lies on the negatíve x-axis as shown below. [The electric charge ranges from x = -c to x= -f. Point P lies on the y-axis at y=a.] Calculate the electric potential at point P. The answer will be in terms of K, a, c, f, and ). Must use the methods shown in class, showing all the steps, in order to receive credit. Useful formula: sec Od0 = Inece b tan a+tan a y P X = -f X = -C
- The vertical deflecting plates of a typical classroom oscilloscope are a pair of parallel square metal plates carrying equal but opposite charges. The potential difference between the plates is 25.0 V. Typical dimensions are about 3.3 cm on a side, with a separation of about 5.0 mm. The plates are close enough that we can ignore fringing at the ends. Part A: Under these conditions, how much charge is on each plate?(Express your answer in coulombs.) Part B: How strong is the electric field between the plates?(Express your answer in volts per meter.) Part C:If an electron is ejected at rest from the negative plates, how fast is it moving when it reaches the positive plate?(Express your answer in meters per second.)A solid insulating sphere of radius a = 4 cm is fixed at the origin of a co-ordinate system as shown. The sphere is uniformly -118 µC/m³. Concentric with charged with a charge density p = the sphere is an uncharged spherical conducting shell of inner radius b = 12.8 cm, and outer radius c = 14.8 ст. P(40)A thin rod has uniform charge per length 3w over its length H. The distance between point A and point B is 3H and the distance between point A and point P is 2H. We introduce an integration variables with 5 = 0 chosen to be at point A and the +s direction to be down. The small red segment has length ds and charge dg. We want to find the electric potential at point P. Draw it out--label the all the lengths and the integration variable! A. dV= B. dV C. dV = D. dV= A Which expression below gives the voltage d'V from the small charge dg in the small segment ds? Choose from the choices (A thru F) below: E. dV= F. dV= B с Kdq √√²+4H² Kdg (s² +4H²) Kdq 5 Kdq √(8+3H)² +4H² Kdg ((s+3H)² +4H²) 3.Kdq H ((8+6H)² +97²)³/2 -P +y >+x What are the limits of integration s? [Select] [Select]
- A hollow cylindrical shell of length L and radius R has charge Q uniformly distributed along its length. Part A What is the electric potential at the center of the cylinder? Express your answer in terms of Q, L, R and appropriate constants. ΑΣΦ ?Please show stepsTwo large charged plates of charge density ±18µC/m² face each other at a separation of 7 mm. Choose coordinate axes so that both plates are parallel to the xy plane, with the negatively charged plate located at z = 0 and the positively charged plate at z = +7 mm. Define potential so that potential at z = 0 is zero (V(z = 0) = 0). Hint a. Find the electric potential at following values of z: o potential at z = -7 mm: V(z = -7 mm) = o potential at z = +1 mm: V(z = +1 mm): = o potential at z = +7 mm: V(z = +7 mm) = = o potential at z = +9.2 mm: V(z = +9.2 mm) = V. V. V. V. b. An electron is released from rest at the negative plate. With what speed will it strike the positive plate? The electron will strike the positive plate with speed of m/s. (Use "E" notation to enter your answer in scientific notation. For example, to enter 3.14 × 10¹2, enter "3.14E12".)